Einstein–Yang–Mills–Lorentz black holes

Cembranos, J. A. R.; Valcárcel, Jorge Gigante

doi:10.1140/epjc/s10052-017-5425-1

Cited by 6 publications

(6 citation statements)

References 33 publications

(41 reference statements)

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“…This work completes our previous study on EYM theory presented in [15]. More general solutions may be found using this method, especially for n = 4 dimensions since the L ξ T λ µν = 0 condition allows a richer structure than for any other number of dimensions.…”

Section: B Nonvanishing Torsionlike Casesupporting

confidence: 69%

“…It has also been used in the most important gauge theories of gravity, such as the well-known Lorentz gauge gravity or the Poincaré gauge gravity, since it gives rise to a Lorentz gauge curvature which is proportional to the Riemann tensor, as is shown in Eq. (15).…”

Section: Solutionsmentioning

confidence: 99%

“…Note that the tracelessness of the torsion-free Einstein tensor in four dimensions implies that b = 0, so these solutions satisfy R µν = 0 (i.e., the space-time is Ricci-flat). On the other hand, by increasing the number of dimensions, the corrections to the gravitational field act as a cosmological constant in the Einstein equations [15].…”

Section: A Torsionless Casementioning

confidence: 99%

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Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models

Cembranos

Valcárcel

2017

Phys. Rev. D

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In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within RiemannCartan space-times. This relation is specially useful in order to simplify the problem of finding exact solutions to the Einstein-Yang-Mills equations. The applicability of the method is divided into two approaches: one associated with the Lorentz group SOð1; n − 1Þ of the space-time rotations, and another one with its subgroup SOðn − 2Þ. Solutions for both cases are presented by the explicit use of this correspondence and, interestingly, for the last one by imposing on our ansatz the same kind of rotation and reflection symmetry properties as for a nonvanishing space-time torsion. Although these solutions were found in previous literature by a different approach, our method provides an alternative way to obtain them, and it may be used in future research to find other exact solutions within this theory.

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Section: B Nonvanishing Torsionlike Casesupporting

confidence: 69%

Section: Solutionsmentioning

confidence: 99%

Section: A Torsionless Casementioning

confidence: 99%

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Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models

Cembranos

Valcárcel

2017

Phys. Rev. D

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“…In the literature, slowly rotating non-abelian BHs, numerical rotating BHs in the minimally coupled EYM theory as well as nonstatic spherically symmetric EYM BHs were previously derived [43][44][45][46], in addition to the static, spherically symmetric constant curvature BHs [47]. Recently, new BH solutions have been also derived by adding Lorentz group symmetry in the minimally coupled EYM theory [48] and loop quantum corrections [49]. In this paper, we focus on the non-minimally coupled EYM theory where the curvature couples with the SU(2) gauge fields non-trivially [50,51].…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory

Jusufi,

Azreg-Aïnou,

Jamil

et al. 2020

Preprint

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In this paper we obtain an effective metric describing a regular and rotating magnetic black hole (BH) solution with a Yang-Mills electromagnetic source in Einstein-Yang-Mills (EYM) theory using the Newman-Janis algorithm via the non-complexification radial coordinate procedure. We then study the BH shadow and the quasinormal modes (QNMs) for massless scalar and electromagnetic fields and the quasiperiodic oscillations (QPOs). To this end, we also study the embedding diagram for the rotating EYM BH. The energy conditions, shadow curvature radius, topology and the dynamical evolution of scalar and electromagnetic perturbations using the time domain integration method are investigated. We show that the shadow radius decreases by increasing the magnetic charge, while the real part of QNMs of scalar and electromagnetic fields increases by increasing the magnetic charge. This result is consistent with the inverse relation between the shadow radius and the real part of QNMs. In addition, we have studied observational constraints on the EYM parameter λ via frequency analysis of QPOs and the EHT data of shadow cast by the M87 central black hole. We also find that the decaying rate of the EYM BH is slower than that of the neutral and ends up with a tail. We argue that the rotating EYM black hole can be distinguished from the Kerr-Newman black hole with a magnetic charge based on the difference between the angular diameters of their shadows.

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“…Particularly, black hole solutions, including Lorentz group symmetry and loop quantum gravity in the Einstein-Yang-Mills theory, have been found in Refs. [33,34]. Here, we plan to explore the spacetime structure and test particle dynamics around black holes described by the solution of the Einstein-Yang-Mills theory coupled with the SU(2) gauge field [25,35,36].…”

mentioning

confidence: 99%

Dynamics of Magnetized and Magnetically Charged Particles around Regular Nonminimal Magnetic Black Holes

et al. 2021

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The present paper is devoted to the study of the event horizon properties of spacetime around a regular nonminimal magnetic black hole (BH), together with dynamics of magnetized and magnetically charged particles in the vicinity of the BH. It is shown that the minimum value of the outer horizon of the extreme charged BH increases with the increase in coupling parameter. It reaches its maximum value of 1.5M when q→∞, while the maximal value of the BH charge decreases and tends toward zero. We also present a detailed analysis of magnetized particles’ motion around a regular nonminimal magnetic black hole. The particle’s innermost circular stable orbits (ISCOs) radius decreases as the magnetic charge and the parameter β increase and the coupling parameter of Yang–Mills field causes a decrease at the values of the magnetic charge near to its maximum. We show that the magnetic charge can mimic the spin of a rotating Kerr black hole up to the value of a=0.7893M, providing the same value for an ISCO of a magnetized particle with the parameter β=10.2 when the coupling parameter is q=0. Moreover, Lyapunov exponents, Keplerian orbits and harmonic oscillations of magnetized particles motion are also discussed.

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Einstein–Yang–Mills–Lorentz black holes

Cited by 6 publications

References 33 publications

Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models

Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models

Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory

Dynamics of Magnetized and Magnetically Charged Particles around Regular Nonminimal Magnetic Black Holes

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